Consider the relation R = {(a, a),(a, b),(b, c),(c, b),(c, d),(d, a),(d, b)} on the set {a, b, c, d}. (a) Draw a graph representing R (b) Use the graph to determine whether R is reflexive, symmetric, and/or transitive. (c) The complement of a relation R is R = A A R. That is, it is the relation containing all ordered-pairs in A A that are not in R. Explain how you can draw the graph of R if you have the graph of R. Demonstrate this by drawing the graph of R for this problem.